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2213043678720 = 29325727749537
BaseRepresentation
bin100000001101000011101…
…011101010111000000000
321211120020211010001212100
4200031003223222320000
5242224303140204340
64412354102230400
7315613166615640
oct40150353527000
97746224101770
102213043678720
1178360150a956
122b8a9ba25400
131308c6009324
147917d02a520
153c876630830
hex20343aeae00

2213043678720 has 480 divisors, whose sum is σ = 8791105422528. Its totient is φ = 504002248704.

The previous prime is 2213043678719. The next prime is 2213043678757. The reversal of 2213043678720 is 278763403122.

2213043678720 is a `hidden beast` number, since 2 + 2 + 130 + 436 + 7 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44649792 + ... + 44699328.

Almost surely, 22213043678720 is an apocalyptic number.

2213043678720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213043678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395552711264).

2213043678720 is an abundant number, since it is smaller than the sum of its proper divisors (6578061743808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213043678720 is a wasteful number, since it uses less digits than its factorization.

2213043678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49850 (or 49831 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2213043678720 in words is "two trillion, two hundred thirteen billion, forty-three million, six hundred seventy-eight thousand, seven hundred twenty".